416538843070968 has 96 divisors (see below), whose sum is σ = 1175787417168000. Its totient is φ = 138148560890208.

The previous prime is 416538843070943. The next prime is 416538843071033. The reversal of 416538843070968 is 869070348835614.

416538843070968 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 38 + 8 + 430 + 70 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 416538843070896 and 416538843070905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537977346 + ... + 538751057.

It is an arithmetic number, because the mean of its divisors is an integer number (12247785595500).

Almost surely, 2^{416538843070968} is an apocalyptic number.

It is an amenable number.

416538843070968 is an abundant number, since it is smaller than the sum of its proper divisors (759248574097032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416538843070968 is a wasteful number, since it uses less digits than its factorization.

416538843070968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076728623 (or 1076728607 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 416538843070968 in words is "four hundred sixteen trillion, five hundred thirty-eight billion, eight hundred forty-three million, seventy thousand, nine hundred sixty-eight".